An introduction to linear algebra from the pure math perspective. Finite-Dimensional Vector Spaces. Paul R. Halmos The book ends with a few applications to analysis (Halmos’s true interest in the subject). Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground.

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As a newly minted Ph.

He eventually became John von Neumann’s research assistant, and it was one of von Neumann’s inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics.

## Halmos, P. R. Finite Dimensional Vector Spaces. ( Springer Verlag)( 205s)

Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can ximensional plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces.

The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In Halmos hamos the coveted Steele Prize for exposition from the American Mathematical Society for “his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space.

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Finite Dimensional Vector Spaces. Princeton University Press- Mathematics – pages.

### Finite-Dimensional Vector Spaces by Paul R. Halmos

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